Understanding Equations and Inequalities
Students will understand that solutions to equations and inequalities are values that make them true.
Key Questions
- Differentiate between an equation and an inequality.
- Explain how to determine if a specific value is a solution to an equation or inequality.
- Analyze the meaning of 'solution set' for an inequality.
Common Core State Standards
Suggested Methodologies
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Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in The Number System: Fractions and Decimals
Factors and Multiples
Students will find the greatest common factor (GCF) and least common multiple (LCM) of two whole numbers.
2 methodologies
Using GCF and LCM to Solve Problems
Students will apply GCF and LCM to solve real-world problems, including distributing items evenly or finding when events will recur.
2 methodologies
Introduction to Integers
Students will understand positive and negative numbers in real-world contexts and represent them on a number line.
2 methodologies
Opposites and Absolute Value
Students will understand the concept of opposites and interpret absolute value as magnitude.
2 methodologies
Comparing and Ordering Integers
Students will compare and order integers using number lines and inequality symbols.
2 methodologies